GCD of 168, 840, 674, 109 Calculator

Given Input numbers are 168, 840, 674, 109

In the factoring method, we have to find the divisors of all numbers

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (168, 840, 674, 109) = 1.

Given numbers are 168, 840, 674, 109

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 674 are 2 x 337

Prime factors of 109 are 109

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 168, 840, 674, 109

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(168, 840) = 840

GCD(168, 840) = ( 168 x 840 ) / 840

= 168 / 840

= 168

Step2:

LCM(168, 674) = 56616

GCD(168, 674) = ( 168 x 674 ) / 56616

= 168 / 674

= 168

Step3:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2

So, Greatest Common Divisor of 168, 840, 674, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 779, 655, 485, 613
• GCD of 763, 329, 225, 106
• GCD of 703, 392, 917, 972
• GCD of 881, 889, 672, 322
• GCD of 747, 355, 911, 295

Given numbers are 168, 840, 674, 109
The greatest common divisor of numbers 168, 840, 674, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 840, 674, 109 is 1.

1. What is the GCD of 168, 840, 674, 109?

GCD of given numbers 168, 840, 674, 109 is 1

2. How to calculate the greatest common divisor of 168, 840, 674, 109?

We can find the highest common divisor of 168, 840, 674, 109 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 168, 840, 674, 109 i.e 1.

3. How can I use the GCD of 168, 840, 674, 109Calculator?

Out the numbers 168, 840, 674, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.